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Finding the Fourth Proportional to 148.02, 202.78 and 142.55

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Solution

The fourth proportional to 148.02, 202.78 and 142.55 is: 195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.02 : 202.78 = 142.55 : x
  2. Step 2: Convert to fraction form
    148.02/202.78 = 142.55/x
  3. Step 3: Cross multiply
    148.02x = 202.78 × 142.55
  4. Step 4: Simplify right side
    148.02x = 28,906.29
  5. Step 5: Solve for x
    x = 28,906.29/148.02
  6. Step 6: Final answer
    x = 195.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.